2304619005312 has 384 divisors, whose sum is σ = 7373368656000. Its totient is φ = 708336285696.

The previous prime is 2304619005289. The next prime is 2304619005319. The reversal of 2304619005312 is 2135009164032.

2304619005312 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 619 + 0 + 0 + 5 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2304619005312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304619005319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763370139 + ... + 763373157.

It is an arithmetic number, because the mean of its divisors is an integer number (19201480875).

Almost surely, 2^{2304619005312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304619005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686684328000).

2304619005312 is an abundant number, since it is smaller than the sum of its proper divisors (5068749650688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2304619005312 is a wasteful number, since it uses less digits than its factorization.

2304619005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2304619005312 in words is "two trillion, three hundred four billion, six hundred nineteen million, five thousand, three hundred twelve".